[PDF] Top 20 On linear Volterra difference equations with infinite delay
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On linear Volterra difference equations with infinite delay
... non-neutral, Volterra difference equations with infinite de- lay have been widely used as mathematical models in mathematical ecology, particu- larly in population ...on Volterra integrodi ff ... See full document
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On the boundedness of the solutions in nonlinear discrete Volterra difference equations
... a linear system Györi and Reynolds [10] found necessary conditions for the solutions to be ...of linear Volterra difference equations with infinite delay and its ...a ... See full document
20
Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
... of 1.1 for any complex numbers z such that |z| ≥ 1. In Section 3, we will prove that under the restriction that the operators Qn, n ≥ 0, are positive, the invertibility of the characteristic operator reduces to that of ... See full document
15
Existence of periodic solutions for a type of linear difference equations with distributed delay
... The same problem has been investigated for linear impulsive delay differential equa- tions [3,4]. The discrete analog of the above mentioned result has been recently stu- died in [5]. We suggest the reader ... See full document
14
Infinite horizon linear quadratic optimal control for stochastic difference time delay systems
... The aim of this paper is to investigate the infinite horizon linear quadratic (LQ) optimal control for stochastic time-delay difference systems with both state and control dependent noise. To do this, the ... See full document
12
Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space
... Definition 2.5 ([39]) Let A be a closed and linear operator with the domain D(A ) de- fined in a Banach space X. Let ρ(A ) be the resolvent set of A . A is called the gen- erator of an α-resolvent family if there ... See full document
15
Exponential stability for abstract linear autonomous functional differential equations with infinite delay
... KEY WORDS AND PHRASES: Exponentially stable, solution semigroup, abstract linear autonomous functional differential equation, fundamental operator, fading memory space.. INTRODUCTION oo,[r] ... See full document
5
Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations
... of linear Volterra equation: x(n + 1) = A(n)x(n) + n s=−∞ F(n, s)x(s) + p(n), n Î Z , by using an exponentially stable of the zero solution, which is equivalent to the exponential behaviors of the resolvent ... See full document
11
Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
... differential equations with infinite delay by the use of the Crandall Liggett ...the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida ... See full document
13
Convergence of approximate solution of delay Volterra integral equations
... vanishing delay function (or, in short, a vanishing delay ). The linear case, θ(t) = qt = t − (1 − q)t =: t − τ (t) (0 < q < 1) (proportional delay) is also known as the pantograph ... See full document
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14. On the stability and instability of functional Volterra integro-differential equations of first order
... -differential equations with multiple delays, ...Staffans, Volterra integral and functional equations, En- cyclopedia of Mathematics and its Applications, ... See full document
10
Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
... various linear and nonlinear generalizations play very important roles in the discussion of existence, uniqueness, continuation, boundedness, and stability properties of solutions of differential equations ... See full document
14
A finite difference method for the smooth solution of linear Volterra integral equations
... weakly singular Volterra integral equations (possibly originated from a boundary value problem) when smoothness of the solution is known. This method is weaker than the previously reported well- known ... See full document
10
Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
... Proof According to Theorem 3.1 in [27], the coefficients of model (8) clearly satisfy the local Lipschitz condition, but do not satisfy the linear growth condition. To show that the solution of model (8) is a global ... See full document
15
Stability of the positive steady state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
... nonlinear Volterra difference equations of population models with diffusion andinfinite delays by using the methodof lower andupper solutions and monotone iterative ... See full document
10
Asymptotic Representation of the Solutions of Linear Volterra Difference Equations
... of Volterra difference equations is extensive, and application of this theory is rapidly increasing to various ...difference equations, we choose to refer to the books by Agarwal 1, Elaydi 2, and ... See full document
22
A note on discrete maximal regularity for functional difference equations with infinite delay
... evolution equations has been re- cently considered by Blunck [4, ...evolution equations is well-know (see [1, 4, 5, 19, 20] and the reference contained ... See full document
11
Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables
... Difference equations with continuous variables are difference equations in which the unknown function is a function of a continuous variable ...These equations appear as natural descriptions of ... See full document
13
Positive periodic solutions of Lotka Volterra like impulsive functional differential equations with infinite distributed time delays on time scales
... This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set ... See full document
21
Chaotification for linear delay difference equations
... Time delay arises in many realistic systems with feedback in science and ...The delay difference equations have been studied by many ...of linear delay difference ...of linear ... See full document
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